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Finding the Fourth Proportional to 36,687.75, 55,031.76 and 8,985.75

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Solution

The fourth proportional to 36,687.75, 55,031.76 and 8,985.75 is: 13,478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,687.75 : 55,031.76 = 8,985.75 : x
  2. Step 2: Convert to fraction form
    36,687.75/55,031.76 = 8,985.75/x
  3. Step 3: Cross multiply
    36,687.75x = 55,031.76 × 8,985.75
  4. Step 4: Simplify right side
    36,687.75x = 494,501,637.42
  5. Step 5: Solve for x
    x = 494,501,637.42/36,687.75
  6. Step 6: Final answer
    x = 13,478.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.